Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with time-varying delay

Authors

  • Laboratory of pure and applied mathematics,\\ Amar Teledji University, Laghouat 03000, Algeria.
  • Laboratory of pure and applied mathematics,\\ Amar Teledji University, Laghouat 03000, Algeria
  • university of Laghouat
  • Laboratory of pure and applied mathematics,\\ Amar Teledji University, Laghouat 03000, Algeria

Abstract

In this work, we are interested in a logarithmic nonlinear viscoelastic wave equation with a time-varying delay term in a bounded domain. Using the Faedo-Galerkin approximation, we get the local existence of the solution. Then, under suitable conditions, we prove that solutions blow up in finite time.

Author Biography

  • , university of Laghouat

    Dr. Djemal Ouchenane

    Laboratory of pure Mathematics and Applications, Laghouat, Algeria

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Published

08/25/2023

Issue

Vol. 14 No. 3 (2023): Mathematics in Science, Engineering, and Aerospace (MESA)

Section

Articles